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Positive solutions for singular BVPs on the positive half-line arising from epidemiology and combustion theory
Journal article   Peer reviewed

Positive solutions for singular BVPs on the positive half-line arising from epidemiology and combustion theory

Smaïl Djebali, Ouiza Saïfi and Yan Baoqiang
Acta mathematica scientia, Vol.32(2), pp.672-694
01/03/2012
DOI: https://doi.org/10.1016/S0252-9602(12)60048-4

Abstract

34B15 34B18 34B40 47H10 cone Fixed points index half-line lower and upper solution positive solution singular problem
In this work, we are concerned with the existence and multiplicity of positive solutions for singular boundary value problems on the half-line. Two problems from epi-demiology and combustion theory set on the positive half-line are investigated. We use upper and lower solution techniques combined with fixed point index on cones in appro-priate Banach spaces. The results complement recent ones in the literature.

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